Question 1094125
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<pre>
-11 <= 5 - |2p+4|  ====>

|2p+4| <= 5 + 11  ====>

|2p+4| <= 16  ====>  (divide both side by 2. You will get an equivalent inequality)  ====>  

|p+2| <= 8  ====>


The solution set are those p in a number line that are remoted not farther than 8 units from -2.


So, the solution set is  -2 -8 <= p <= -2 +8,   or, which is the same,

-10 <= p <= 6.


<U>Answer</U>.  The solution set is the segment [-10,6].
</pre>

When you got the inequality of the type  |p+2| <= 8,  it is not necessary to continue analytic solution.


You can get the answer quicker if you KNOW what the absolute value means GEOMETRICALLY.